Macdonald-positive specializations of the algebra of symmetric functions: Proof of the Kerov conjecture

2017/11/18 by Matveev, Konstantin · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1711.06939

Abstract

We prove the classification of homomorphisms from the algebra of symmetric functions to ℝ with non-negative values on Macdonald symmetric functions P_λ, that was conjectured by S.V. Kerov in 1992.

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• Hall-Littlewood-positive harmonic functionals on the algebra of symmetric functions
• Matrix harmonic analysis at high temperature via the Dirichlet process

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